3189200 has 120 divisors (see below), whose sum is σ = 9410112. Its totient is φ = 1013760.

The previous prime is 3189191. The next prime is 3189227. The reversal of 3189200 is 29813.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47567 + ... + 47633.

Almost surely, 2^3189200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3189200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4705056).

3189200 is an abundant number, since it is smaller than the sum of its proper divisors (6220912).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3189200 is a wasteful number, since it uses less digits than its factorization.

3189200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 3189200 is about 1785.8331389018. The cubic root of 3189200 is about 147.1952916736.

The spelling of 3189200 in words is "three million, one hundred eighty-nine thousand, two hundred".